@article{b34d390e7ebe4568bdc5caec087b3b43,
title = "Boundary conditions for high-quality loop subdivision surfaces",
abstract = "In this report, we propose a method which generates a high-quality subdivision surface from mesh data satisfying boundary conditions. We estimate second cross-derivatives at boundaries and construct a control mesh so that the interpolated shape is supposed to be trimmed from an extended shape at the boundary. At sharp features, we introduce a subdivision rule in a similar manner to Hoppe et al., which makes a crease or boundary correspond with a specified curve.",
keywords = "Boundary condition, Cross derivative, Subdivision surface",
author = "Masatake Higashi and Shinji Seo and Masakazu Kobayashi and Tetsuo Oya",
note = "Funding Information: We have proposed a method which obtains the control vertices for a high-quality subdivision surface using boundary conditions and introduced a new subdivision rule at the boundary by examining the cross boundary derivatives of triangular subdivision surfaces. The method estimates the second cross boundary derivatives, determines control vertices along the boundaries and then obtains inner control vertices. We have shown that the subdivision surface interpolated globally by our method satisfies boundary conditions and has smooth curvature distribution. Our future research is to apply our method to approximation of subdivision surfaces. This work was partly supported by KAKENHI (20560139).",
year = "2011",
doi = "10.3722/cadaps.2011.593-602",
language = "English",
volume = "8",
pages = "593--602",
journal = "Computer-Aided Design and Applications",
issn = "1686-4360",
publisher = "CAD Solutions",
number = "4",
}